Current Electricity PYQs Set 14 (PDF)

Set 14 of 25 · Questions 391-420 of 723

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Mere Teacher · Previous Year Questions JEE Main Physics · Current Electricity · Set 14 (Q391-420)
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391. $A resistance wire connected in the left gap of a meter bridge balances a 10Ω resistance in the right gap at a point which divides the bridge wire in the ratio 3 : 2 . If the length of the resistance wire is 1.5 m , then the length of 1Ω of the resistance wire is [NEET 2020]$ (1) $1.0 \times 10^{- 1} m$ (2) $1.5 \times 10^{- 1} m$ (3) $1.5 \times 10^{- 2} m$ (4) $1.0 \times 10^{- 2} m$ 392. $When the switch S, in the circuit shown, is closed, then the value of current i will be:$ (1) $3A$ (2) $5A$ (3) $4A$ (4) $2A$ 393. $A current of 2 A flows through a 2 Ω resistor when connected across a battery. The same battery supplies a current of 0.5 A when connected across a 9 Ω resistor. The internal resistance of the battery is$ (1) $0.5 Ω$ (2) $1/3 Ω$ (3) $1/4 Ω$ (4) $1 Ω$ 394. $A carbon resistance has following colour code. What is the value of the resistance?$ (1) $530 kΩ \pm 5 %$ (2) $5.3 kΩ \pm 5 %$ (3) $6.4 MΩ \pm 5 %$ (4) $64 MΩ \pm 10 %$ 395. $A battery of the emf 18 V and internal resistance of 3Ω and another battery of emf 10 V and internal resistance of 1Ω are connected as shown in figure. Then, the voltmeter reading is$ (1) $10 V$ (2) $12 V$ (3) $16 V$ (4) $8 V$ 396. $The galvanometer deflection when key K_{1} is closed but K_{2} is open, equals θ_{0} (see figure). On closing K_{2} also and adjusting R_{2} to 5Ω, the deflection in galvanometer becomes \frac{θ _{0}}{5} . The resistance of the galvanometer is, then, given by [Neglect the internal resistance of battery]:$ (1) $5$ (2) $12$ (3) $25$ (4) $22$ 397. $In the given circuit, the current through 2Ω resistor is$ (1) $0.4 A$ (2) $0.2 A$ (3) $0.1 A$ (4) $0.3 A$ 398. $For a cell terminal potential difference is 2.2 V when circuit is open and reduces to 1. 8 V when cell is connected to a resistance of R = 5Ω . Determine internal resistance of cell (r)$ (1) $\frac{10}{9} Ω$ (2) $\frac{9}{10} Ω$ (3) $\frac{11}{9} Ω$ (4) $\frac{5}{9} Ω$ 399. $In the given circuit the internal resistance of the 18v cell is negligible. If R_{1} = 400 Ω, R_{3} = 100 Ω and R_{4} = 500 Ω and the reading of an ideal voltmeter across R_{4} is 5V, then the value of R_{2} will be:$ (1) $450$ (2) $550$ (3) $230$ (4) $300$ 400. $In an aluminum (Al) bar of square cross section, a square hole is drilled and is filled with iron (Fe) as shown in the figure, The electrical resistivities of Al and Fe are 2.7\times 1 0^{-8} Ω m and 1.0 \times 1 0^{-7} Ω m, respectively. The electrical resistance between the two faces P and Q of the composite bar is$ (1) $\frac{2475}{64} μΩ$ (2) $\frac{1875}{64} μΩ$ (3) $\frac{1875}{49} μΩ$ (4) $\frac{2475}{132} μΩ$ 401. $In the network shown in the figure, each of the resistance is equal to 2Ω . The resistance between the points A and B is$ (1) $3 Ω$ (2) $4 Ω$ (3) $1 Ω$ (4) $2 Ω .$ 402. $For the circuit A and B as shown in the figure, identify the correct option.$ (1) $Circuit A is for accurate measurement of high resistance and B is for low resistance.$ (2) $Circuit A is for accurate measurement of low resistance and B is for high resistance.$ (3) $Both circuits can accurately measured high resistance only.$ (4) $Both circuits can accurately measured low resistance only.$ 403. $A galvanometer having a coil resistance 100 Ω gives a full scale deflection when a current of 1mA is passed through it. What is the value of the resistance which can convert this galvanometer into a voltmeter giving full scale deflection for a potential difference of 10 V?$ (1) $8.9 kΩ$ (2) $10 kΩ$ (3) $9.9 kΩ$ (4) $7.9 kΩ$ 404. $A 5 V battery with internal resistance 2 Ω and a 2V battery with internal resistance 1 Ω are connected to a 10 Ω resistor as shown in the figure. The current in the 10 Ω resistor is -$ (1) $0.03 A P_{1} to P_{2}$ (2) $0.03 A P_{2} to P_{1}$ (3) $0.27 A P_{1} to P_{2}$ (4) $0.27 A P^{2} to P_{1}$ 405. $A galvanometer, whose resistance is 50 ohm, has 25 divisions in it. When a current of 4 \times 1 0^{-4} A passes through it, its needle (pointer) deflects by one division. To use this galvanometer as a voltmeter of range 2.5 V, It should be connected to a resistance of:$ (1) $250 ohm$ (2) $200 ohm$ (3) $6200 ohm$ (4) $6250 ohm$ 406. $A wire of resistance R is bent to form a square ABCD as shown in the figure. The effective resistance between E and C is: (E is mid-point of arm CD)$ (1) $R$ (2) $\frac{7}{64} R$ (3) $\frac{3}{4} R$ (4) $\frac{1}{16} R$ 407. $In the figure shown, the current in the 10 V battery is close to$ (1) $0.36 A from negative to positive terminal$ (2) $0.42 A from positive to negative terminal$ (3) $0.71 A from positive to negative terminal$ (4) $0.21 A from positive to negative terminal$ 408. $Sliding contact of a potentiometer is in the middle of the potentiometer wire having resistance R_{p} = 1Ω as shown in the figure. An external resistance of R_{e} = 2Ω is connected via the sliding contact. The electric current in the circuit is:$ (1) $0.9 A$ (2) $1.35 A$ (3) $0.3 A$ (4) $1.0 A$ 409. $A circuit contains an ammeter, a battery of 30 V and a resistance 40.8 ohm all connected in series. If the ammeter has a coil of resistance 480 ohm and a shunt of 20 ohm, the reading in the ammeter will be$ (1) $2 A$ (2) $1 A$ (3) $0.5 A$ (4) $0.25 A$ 410. $In the circuits shown below, the readings of the voltmeters and the ammeters will be$ (1) $V_{2} > V_{1} and i_{1} = i_{2}$ (2) $V_{1} = V_{2} and i_{1} > i_{2}$ (3) $V_{1} = V_{2} and i_{1} = i_{2}$ (4) $V_{2} > V_{1} and i_{1} > i_{2}$ 411. $A current of 15 mA flows in the circuit as shown in figure. The value of potential difference between the points A and B will be$ (1) $50 V$ (2) $75 V$ (3) $150 V$ (4) $275 V$ 412. $If the potential difference between B and D is zero, the value of x is \frac{1}{n} Ω . The value of n is........$ 413. $A rectangular parallelepiped is measured as 1 cm x 1 cm x 100 cm. If its specific resistance is 3 x 10-7 Ω m, then the resistance between its two opposite rectangular faces will be_____x 10-7 Ω$ 414. $Four resistances 40Ω, 60Ω, 90Ω and 110Ω make the arms of a quadrilateral ABCD . Across AC is a battery of emf 40 V and internal resistance negligible. The potential difference across BD in V is$ 415. $Equivalent resistance of the following network is___Ω .$ 416. $The variation of applied potential and current flowing through a given wire is shown in figure. The length of wire is 31.4 cm. The diameter of wire is measured as 2.4 cm. The resistivity of the given wire is measured as x \times 10-3 Ω cm. The valueof x is__________. [Take π = 3.14]$ 417. $The series combination of two batteries, both of the same emf 10 V, but different internal resistance of 20Ω and 5Ω, is connected to the parallel combination of two resistors 30Ω and RΩ . The voltage difference across the battery of internal resistance 20Ω is zero, the value of R (in Ω) is$ 418. $In the following circuit, the magnitude of current I_{1}, is _____A.$ 419. $Twelve wires each having resistance 2Ω are joined to form a cube. A battery of 6 V emf is joined across point a and c . The voltage difference between e and f is ______V.$ 420. $A wire of resistance 9Ω is bent to form an equilateral triangle. Then the equivalent resistance across any two vertices will be ohm.$